Investigation and improvement of sensitivity computation using the area-fraction weighted fixed grid FEM and structural optimization

By Peter D. Dunning, A. Kim, Glen Mullineux. 2011

67 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3e5842e7c3fab4d69688f3fbe0d4e9d83ffa5d7e

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In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

A gradient-based shape optimization scheme using an interface-enriched generalized FEM (2015, methodology): “In contrast to Lagrangian methods, Eulerian approaches mitigate mesh distortion problems by projecting the design domain over a fixed mesh [15,16,18,19].”
Stress-based topology optimization using an isoparametric level set method (2012, methodology): “Several authors have presented techniques for solving the Hamilton–Jacobi equation in problems where the finite element mesh is unstructured or simply nonuniform [12,13,6].”
Robust Topology Optimization: Minimization of Expected and Variance of Compliance (2013, methodology): “Details of the computational implementation of the level set topology optimization method used in this paper can be found in our previous publications [41,42].”
Level‐set topology optimization with many linear buckling constraints using an efficient and robust eigensolver (2016, methodology): “The element-wise derivatives are then interpolated at the boundary using a weighted least squares method to obtain the shape sensitivities [42].”
Stress-based shape and topology optimization with the level set method (2018, methodology): “The investigations in [42] found that the following second degree polynomial provides sufficient accuracy for the sensitivity distribution in two dimensions:”
Level set topology optimization of structures under stress and temperature constraints (2020, methodology): “First, the sensitivities are calculated at the centroids of all the elements from which the boundary point sensitivities are determined using the least squares interpolation [23].”
Introducing the sequential linear programming level-set method for topology optimization (2015, methodology): “For this paper we use the area-fraction approach to compute the stiffness matrix of a cut element (Dunning et al. 2011), which is similar to the ersatz material approach used by Allaire et al. (2004).”